Finding the Third Proportional to 20,772 and 31,734

Step by Step Solution

1. Step 1: Write the proportion equation
   20,772 : 31,734 = 31,734 : x
2. Step 2: Convert to fraction form
   20,772/31,734 = 31,734/x
3. Step 3: Cross multiply
   20,772x = 31,734 × 31,734
4. Step 4: Simplify right side
   20,772x = 1,007,046,756
5. Step 5: Solve for x
   x = 1,007,046,756/20,772
6. Step 6: Final answer
   x = 48,480.97